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Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations

✍ Scribed by Geng, Xianguo; Tam, Hon-Wah

Book ID
124165735
Publisher
Institute of Pure and Applied Physics
Year
1999
Tongue
English
Weight
712 KB
Volume
68
Category
Article
ISSN
0031-9015

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✍ Guo, Boling; Ling, Liming; Liu, Q. P. 📂 Article 📅 2012 🏛 The American Physical Society 🌐 English ⚖ 332 KB

In this paper, we construct a generalized Darboux transformation for the nonlinear Schrödinger equation. The associated N -fold Darboux transformation is given in terms of both a summation formula and determinants. As applications, we obtain compact representations for the N th-order rogue wave solu